Euclid stated that if Equals are subtracted from Equal then the remainders are equal in the form of …………. (an axiom, a definition, a postulate).

Answer

To solve the question, we need to identify the correct term that describes the statement made by Euclid: "if equals are subtracted from equals, then the remainders are equal."

### Step-by-Step Solution:

1. **Understanding the Statement**: The statement given is a mathematical assertion that describes a property of equality. It states that if you take two equal quantities and subtract the same amount from both, the results will still be equal.

2. **Identifying the Type of Statement**: In geometry and mathematics, statements can be classified into three categories: axioms, definitions, and postulates.
- **Axiom**: A statement accepted as true without proof, serving as a starting point for further reasoning.
- **Definition**: A statement that explains the meaning of a term or concept.
- **Postulate**: A statement assumed to be true for the purpose of argument or investigation, often similar to an axiom.

3. **Relating to Euclid's Work**: The statement in question is one of Euclid's axioms. Specifically, it is known as the third axiom of Euclid, which asserts that if equals are subtracted from equals, the remainders are equal.

4. **Conclusion**: Based on the classification and the context provided, we conclude that the correct term for the statement made by Euclid is "axiom."

### Final Answer:
The statement "if equals are subtracted from equals, then the remainders are equal" is an **axiom**.

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